Cremona's table of elliptic curves

27104 = 2⁵ · 7 · 11²

Class	r	Atkin-Lehner	Eigenvalues
27104a (1 curve)	1	2+ 7+ 11+	2+  1  3 7+ 11+ -2  6  0
Curve Equation t Generators 27104a1 [0,1,0,-3549,-1050997] 1 [95589:633556:729]
27104b (1 curve)	1	2+ 7+ 11+	2+ -1  3 7+ 11+  2 -6  0
Curve Equation t Generators 27104b1 [0,-1,0,-29,-779] 1 [15:44:1]
27104c (2 curves)	0	2+ 7+ 11-	2+  0  0 7+ 11-  2 -4 -2
Curve Equation t 27104c1 [0,0,0,-605,-15972] 2 27104c2 [0,0,0,-13915,-630894] 2
27104d (1 curve)	0	2+ 7+ 11-	2+  1 -2 7+ 11- -5  0  7
Curve Equation t 27104d1 [0,1,0,-143304,20834636] 1
27104e (1 curve)	0	2+ 7+ 11-	2+  2 -1 7+ 11-  5  3  0
Curve Equation t 27104e1 [0,-1,0,-19521,3633137] 1
27104f (1 curve)	2	2+ 7+ 11-	2+ -2 -1 7+ 11- -5 -3  0
Curve Equation t Generators 27104f1 [0,1,0,-161,2671] 1 [-17:28:1]&[7:-44:1]
27104g (1 curve)	1	2+ 7- 11-	2+  1  1 7- 11-  2  0  6
Curve Equation t Generators 27104g1 [0,1,0,-3906525,-2974293973] 1 [57001:13600748:1]
27104h (1 curve)	1	2+ 7- 11-	2+ -1 -2 7- 11- -5  0 -7
Curve Equation t Generators 27104h1 [0,-1,0,-143304,-20834636] 1 [444:1694:1]
27104i (2 curves)	1	2+ 7- 11-	2+ -2 -2 7- 11- -4  0  0
Curve Equation t Generators 27104i1 [0,1,0,686,13440] 2 [29:242:1] 27104i2 [0,1,0,-5969,147871] 2 [106:-847:1]
27104j (1 curve)	1	2- 7+ 11-	2-  1 -3 7+ 11- -6  0  6
Curve Equation t Generators 27104j1 [0,1,0,-9357,-754789] 1 [3819:23716:27]
27104k (1 curve)	1	2- 7+ 11-	2- -1  1 7+ 11-  2  0 -6
Curve Equation t Generators 27104k1 [0,-1,0,-3906525,2974293973] 1 [-117:58564:1]
27104l (1 curve)	1	2- 7+ 11-	2- -1 -2 7+ 11-  5  0  7
Curve Equation t Generators 27104l1 [0,-1,0,-1184,16084] 1 [20:-2:1]
27104m (2 curves)	1	2- 7+ 11-	2-  2  0 7+ 11-  4  2 -6
Curve Equation t Generators 27104m1 [0,-1,0,202,-856] 2 [3342:37268:27] 27104m2 [0,-1,0,-1008,-6664] 2 [-142450:693987:10648]
27104n (2 curves)	1	2- 7+ 11-	2-  2 -2 7+ 11- -4  0  0
Curve Equation t Generators 27104n1 [0,-1,0,686,-13440] 2 [480:1720:27] 27104n2 [0,-1,0,-5969,-147871] 2 [97:420:1]
27104o (2 curves)	1	2- 7+ 11-	2-  2  4 7+ 11- -4  6 -2
Curve Equation t Generators 27104o1 [0,-1,0,4074,-1145032] 2 [457784715336235:4235173588599162:3627418752125] 27104o2 [0,-1,0,-142336,-19885512] 2 [53243387213766999361232295:-1520816987852731979187085286:54198957025061798299875]
27104p (2 curves)	1	2- 7+ 11-	2- -2  0 7+ 11-  0  6 -6
Curve Equation t Generators 27104p1 [0,1,0,-9478,388056] 2 [-15:726:1] 27104p2 [0,1,0,-155888,23637964] 2 [1690:3381:8]
27104q (1 curve)	1	2- 7- 11+	2-  1  3 7- 11+  2 -6  0
Curve Equation t Generators 27104q1 [0,1,0,-29,779] 1 [5:-28:1]
27104r (1 curve)	1	2- 7- 11+	2- -1  3 7- 11+ -2  6  0
Curve Equation t Generators 27104r1 [0,-1,0,-3549,1050997] 1 [444:9317:1]
27104s (2 curves)	0	2- 7- 11-	2-  0  0 7- 11-  2 -4  2
Curve Equation t 27104s1 [0,0,0,-605,15972] 2 27104s2 [0,0,0,-13915,630894] 2
27104t (1 curve)	0	2- 7- 11-	2-  1 -2 7- 11-  5  0 -7
Curve Equation t 27104t1 [0,1,0,-1184,-16084] 1
27104u (1 curve)	2	2- 7- 11-	2- -1 -3 7- 11- -6  0 -6
Curve Equation t Generators 27104u1 [0,-1,0,-9357,754789] 1 [4:-847:1]&[-101:812:1]
27104v (2 curves)	0	2- 7- 11-	2-  2  0 7- 11-  0  6  6
Curve Equation t 27104v1 [0,-1,0,-9478,-388056] 2 27104v2 [0,-1,0,-155888,-23637964] 2
27104w (1 curve)	0	2- 7- 11-	2-  2 -1 7- 11- -5 -3  0
Curve Equation t 27104w1 [0,-1,0,-161,-2671] 1
27104x (2 curves)	0	2- 7- 11-	2- -2  0 7- 11-  4  2  6
Curve Equation t 27104x1 [0,1,0,202,856] 2 27104x2 [0,1,0,-1008,6664] 2
27104y (1 curve)	0	2- 7- 11-	2- -2 -1 7- 11-  5  3  0
Curve Equation t 27104y1 [0,1,0,-19521,-3633137] 1
27104z (2 curves)	0	2- 7- 11-	2- -2  4 7- 11- -4  6  2
Curve Equation t 27104z1 [0,1,0,4074,1145032] 2 27104z2 [0,1,0,-142336,19885512] 2

Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
Back to Tables and computations